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Finding the Fourth Proportional to 120,513.85, 166,291.32 and 66,798.64

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Solution

The fourth proportional to 120,513.85, 166,291.32 and 66,798.64 is: 92,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,513.85 : 166,291.32 = 66,798.64 : x
  2. Step 2: Convert to fraction form
    120,513.85/166,291.32 = 66,798.64/x
  3. Step 3: Cross multiply
    120,513.85x = 166,291.32 × 66,798.64
  4. Step 4: Simplify right side
    120,513.85x = 11,108,034,019.80
  5. Step 5: Solve for x
    x = 11,108,034,019.80/120,513.85
  6. Step 6: Final answer
    x = 92,172.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.